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tino4ka555 [31]
3 years ago
7

5. Suppose that every three months, on average, an earthquake occurs in a certain region. Assuming this is a Poisson process, wh

at is the probability that the next earthquake occurs after three but before seven months?
Geography
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

0.2709

Explanation:

Given that 1 earthquake occurs in 3 months

∴Number of earthquake that will occur in 1 month = 1 / 3

∴ The waiting time of the earthquake to occur can be shown as

X\sim exp(\frac{1}{3})

And since it is a poisson distribution as mentioned, the waiting time is always exponential.

Now the probability of the next earthquake that will occur after three but before seven months is

P(3

                     = e^{-\frac{3}{3}}-e^{-\frac{7}{3}}

                     = 0.2709

∴ The probability of ht waiting time is 0.2709

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